$($Related to Checkpoint$7\mathrm{.}1)($Expected rate of return and risk$)$B$.$ J$.$ Gautney Enterprises is evaluating a security. $$ One$-$year Treasury bills are currently paying $3\mathrm{.}8$ percent. Calculate the$$ investment's expected return and its standard deviation. Should Gautney invest in this$$ security?

Probability

Return

$0\mathrm{.}10$

negative $4$

$\%$

$0\mathrm{.}35$

$1$

$\%$

$0\mathrm{.}45$

$5$

$\%$

$0\mathrm{.}10$

$8$

$\%$

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Part $1$

a$.$The$$ investment's expected return is

$$

enter your response here$\%.($Round to two decimal$$ places.$)$